Uniqueness of norm-preserving extensions of functionals on the space of compact operators

DOI10.7146/MATH.SCAND.A-112071zbMath1430.46015OpenAlexW2970397195MaRDI QIDQ5234900

Märt Põldvere, Julia Martsinkevitš

Publication date: 7 October 2019

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-112071

zbMATH Keywords

spaces of compact operatorsideals in Banach spacesnorm-preserving extensions of functionalsgeneralized denting point

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (1)

On the structure of the dual unit ball of strict \(u\)-ideals

Cites Work

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• \(M\)-ideals in Banach spaces and Banach algebras
• Points de Namioka. Espaces normants. Applications à la théorie isométrique de la dualité
• The metric approximation property, norm-one projections and intersection properties of balls
• Geometry of operator spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Norm-preserving extensions of functionals and denting points of convex sets
• Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\)
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• Johnson's projection, Kalton's property (M^*), and M-ideals of compact operators
• Strict u-ideals in Banach spaces
• Ideals of compact operators
• Property (wM*) and the unconditional metric compact approximation property
• Spaces of compact operators and their dual spaces

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